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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-sbimedh | Unicode version |
Description: A strengthening of sbiedh 1774 (same proof). (Contributed by BJ, 16-Dec-2019.) |
Ref | Expression |
---|---|
bj-sbimedh.1 | |
bj-sbimedh.2 | |
bj-sbimedh.3 |
Ref | Expression |
---|---|
bj-sbimedh |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb1 1753 | . . 3 | |
2 | bj-sbimedh.1 | . . . 4 | |
3 | bj-sbimedh.3 | . . . . 5 | |
4 | 3 | impd 252 | . . . 4 |
5 | 2, 4 | eximdh 1598 | . . 3 |
6 | 1, 5 | syl5 32 | . 2 |
7 | bj-sbimedh.2 | . . 3 | |
8 | 2, 7 | 19.9hd 1649 | . 2 |
9 | 6, 8 | syld 45 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1340 wex 1479 wsb 1749 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-4 1497 ax-ial 1521 |
This theorem depends on definitions: df-bi 116 df-sb 1750 |
This theorem is referenced by: bj-sbimeh 13505 |
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